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Simplifying 2x + -2 + 3(2x + 4) = -4(x + 2) Reorder the terms: 2x + -2 + 3(4 + 2x) = -4(x + 2) 2x + -2 + (4 * 3 + 2x * 3) = -4(x + 2) 2x + -2 + (12 + 6x) = -4(x + 2) Reorder the terms: -2 + 12 + 2x + 6x = -4(x + 2) Combine like terms: -2 + 12 = 10 10 + 2x + 6x = -4(x + 2) Combine like terms: 2x + 6x = 8x 10 + 8x = -4(x + 2) Reorder the terms: 10 + 8x = -4(2 + x) 10 + 8x = (2 * -4 + x * -4) 10 + 8x = (-8 + -4x) Solving 10 + 8x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 8x + 4x = -8 + -4x + 4x Combine like terms: 8x + 4x = 12x 10 + 12x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 12x = -8 + 0 10 + 12x = -8 Add '-10' to each side of the equation. 10 + -10 + 12x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -8 + -10 12x = -8 + -10 Combine like terms: -8 + -10 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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